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siniylev [52]
3 years ago
14

One third of a store’s inventory is children’s clothing. Two fifths of its inventory is women’s clothing. What fraction of the t

otal inventory is children’s or women’s clothing?

Mathematics
2 answers:
ad-work [718]3 years ago
8 0
Children : 1/2
Women : 4/15

I’m sorry if it’s incorrect :(

larisa86 [58]3 years ago
8 0

Answer:

11/15

Step-by-step explanation:

To answer this, add (combine) 1/3 and 2/5.

First we must rewrite these fractions with the same denominator, the LCD.

The LCD here is obtained by multiplying the denominators 3 and 5 together, obtaining 15.

Thus, 1/3 + 2/5 becomes 5/15 + 6/15, which, in turn, is 11/15.

The fraction of the total inventory that is children’s or women’s clothing

is 11/15.

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Answer:

Step-by-step explanation:

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Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

x'=\frac{dx}{dt}

a)  x’=t–sin(t),  x(0)=1

dx=(t-sint)dt

Apply integral both sides:

\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k

where k is a constant due to integration. With x(0)=1, substitute:

1=0+cos0+k\\\\1=1+k\\k=0

Finally:

x=\frac{t^2}{2} +cos(t)

b) x’+2x=4; x(0)=5

dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\

Completing the integral:

-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}

Solving the operator:

-\frac{1}{2}ln(4-2x)=t+k

Using algebra, it becomes explicit:

x=2+ke^{-2t}

With x(0)=5, substitute:

5=2+ke^{-2(0)}=2+k(1)\\\\k=3

Finally:

x=2+3e^{-2t}

c) x’’+4x=0; x(0)=0; x’(0)=1

Let x=e^{mt} be the solution for the equation, then:

x'=me^{mt}\\x''=m^{2}e^{mt}

Substituting these equations in <em>c)</em>

m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

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Natalka [10]
3x\ \textless \ -6 :

Divide both sides by 3 :

\frac{3x}{3} = \frac{-6}{3}

x\ \textless \ -2

Answer A

<span>{x | x < -2}
</span>
hope this helps!

7 0
3 years ago
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Answer:

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7 0
3 years ago
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